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exis [7]
2 years ago
8

Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are deducted f

or an incorrect answer. Emily answered 7 questions correctly and 8 incorrectly in the first round. What was her first-round score? Emily answered 4 questions correctly and 11 incorrectly in the second round. What was her score in the second round? The final score is the average of the two rounds, what is Emily's final score?
Mathematics
1 answer:
kirza4 [7]2 years ago
4 0

Answer:

<u>1. Emily scored 60 points in the first round</u>

<u>2. Emily scored minus 30 points in the second round</u>

<u>3. Emily's final score is 15 points.</u>

Step-by-step explanation:

1. Let's review all the information given to us to answer the questions correctly:

Points awarded for a correct answer = 20

Points deducted for a incorrect answer = 10

2. Let's calculate the score of Emily in the first round:

Score = 7 * 20 - 8 * 10

Score = 140 - 80

Score = 60

<u>Emily scored 60 points in the first round</u>

<u>3. </u>Let's calculate the score of Emily in the second round:

Score = 4 * 20 - 11 * 10

Score = 80 - 110

Score = - 30

<u>Emily scored minus 30 points in the second round</u>

<u>4. </u>Let's calculate the final score of Emily:

Final score = (Score 1st round + Score 2nd round)/2

Final score = (60 + - 30)/2

Final score = (60 - 30)/2 = 30/2 = 15

<u>Emily's final score is 15 points.</u>

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IrinaVladis [17]

Answer:

The function is f(x) = 4(\sqrt[3]{16} )^{2x}.

Step-by-step explanation:

We have to choose from options the exponential function which has a simplified base of 4∛4 i.e. ∛(256).

Now, the exponential function in the option III will be the answer.

The function is f(x) = 4(\sqrt[3]{16} )^{2x}.

So, the base is (\sqrt[3]{16} )^{2} = \sqrt[3]{16^{2}} = \sqrt[3]{256} = 4\sqrt[3]{4}. (Answer)

The general formula of an exponential function is f(x) = a(b)^{x} , where b is called the base of the function.  

4 0
2 years ago
An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a r
Elena L [17]
The problem is modelled in the diagram below 

Question 1:
The largest area of the pool is half of the area of the circle

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Area of circle = π(60)² = 11309.73355 feet

Area of half of the circle is 11309.73355/2 = 5654.866... ≈ 5654.87 feet (2dp)

Question b:

The area of the pool is the area of the circle subtracts the area of the triangle.

The area of the circle is 11309.73²

The area of the triangle is 1/2 (60×103.92) = 3117.6 feet²

The area of the pool is 11309.73 - 3117.6 = 7922.13 feet²

The volume of the pool = 7922.13 × 4 = 31688.52 feet³

Note: there isn't any information on the fish tank part so the answer above is assumed for the whole pool.

6 0
1 year ago
Meteorologists look for weather trends across US states in the same geographical region. Kentucky and Illinois share a border. T
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The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

We have to evaluate the measures of center.

Firstly, we will calculate the mean.

Mean = (Sum of all the observations)/ (Total number of observations)

Mean =  \frac{57.5+55.1+52.2+55.6+55.6+54.4+54.5+58.3+57.3+55.7}{10}

= \frac{556.2}{10}

= 55.62

Now, we will calculate mode.

Mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.

Consider the data 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

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Now, we will calculate the median.

Firstly, we will arrange in the ascending order.

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Since there are 10 terms.

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Since, the 5th observation is 55.6.

Therefore, the median is 55.6

5 0
2 years ago
Read 2 more answers
What method would you choose to solve the equation 2x2 – 7 = 9? Explain why you chose this method.
oksano4ka [1.4K]

I would add 7 to get ...

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then divide by 2 to get

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Now, I would take the square root, recognizing that both positive and negative values will solve the problem.

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The root can be simplified, so we have ...

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The above method seemed the most obvious method to me. One could use the quadratic formula, but that seems to involve more operations.

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cestrela7 [59]

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C) 27 students chose tennis: 21 are girls --> 6 are boys.

D) 58 boys: 22 chose football, 6 chose tennis --> 30 boys chose running.

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8 0
2 years ago
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